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Finding the Third Proportional to 1,995.03 and 4,047.06

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Solution

The third proportional to 1,995.03 and 4,047.06 is: 8,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.03 : 4,047.06 = 4,047.06 : x
  2. Step 2: Convert to fraction form
    1,995.03/4,047.06 = 4,047.06/x
  3. Step 3: Cross multiply
    1,995.03x = 4,047.06 × 4,047.06
  4. Step 4: Simplify right side
    1,995.03x = 16,378,714.88
  5. Step 5: Solve for x
    x = 16,378,714.88/1,995.03
  6. Step 6: Final answer
    x = 8,209.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.